Comparison of finite element and finite volume methods application in geometrically nonlinear stress analysis

被引：66
|
作者：
Fallah, NA [1 ]
Bailey, C [1 ]
Cross, M [1 ]
Taylor, GA [1 ]
机构：
[1] Univ Greenwich, Ctr Numer Modelling & Proc Anal, London SE10 4LS, England
来源：
APPLIED MATHEMATICAL MODELLING | 2000年 / 24卷 / 07期
关键词：
finite element; finite volume; geometrically nonlinear;
D O I：
10.1016/S0307-904X(99)00047-5
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
A novel three-dimensional finite volume (FV) procedure is described in detail for the analysis of geometrically nonlinear problems. The FV procedure is compared with the conventional finite element (FE) Galerkin approach. FV can be considered to be a particular case of the weighted residual method with a unit weighting function, where in the FE Galerkin method we use the shape function as weighting function. A Fortran code has been developed based on the finite volume cell vertex formulation. The formulation is tested on a number of geometrically nonlinear problems. In comparison with FE, the results reveal that FV can reach the FE results in a higher mesh density. (C) 2000 Published by Elsevier Science Inc. All rights reserved.
引用
收藏
页码：439 / 455
页数：17
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